相变与重正化群-(影印版) 本书特色

《相变与重正化群(英文影印版)》详细讨论了相变与重正化群的关系。特别是相变中的连续极限、相干长度及标度律等等。本书适合所有物理学领域的科研工作者和研究生阅读。

相变与重正化群-(影印版) 内容简介

相变无疑是物理学中的*重要的现象之一。对于相变的研究贯穿整个物理学，甚至是人类文明史。而现代物理学中，与相变息息相关的一个方法就是重正化群方法，其概念和思想已经渗透于物理学的各个领域。《相变与重正化群(英文影印版)》的引进，能够供所有物理学领域的工作者作为参考。

相变与重正化群-(影印版) 目录

1 quantum field theory and the renormalization group.
  1.1 quantum electrodynamics: a quantum field theory.
  1.2 quantum electrodynamics: the problem of infinities
  1.3 renormalization.
  1.4 quantum field theory and the renormalization group
  1.5 a triumph of qft: the standard model
  1.6 critical phenomena: other infinities
  1.7 kadanoff and wilson’s renormalizationgroup
  1.8 effective quantum field theories
2 gaussian expectation values. steepest descent method
  2.1 generating functions
  2.2 gaussian expectation values.wick’s theorem
  2.3 perturbed gaussian measure. connected contributions
  2.4 feynman diagrams. connected contributions.
  2.5 expectation values. generating function. cumulants
  2.6 steepest descent method
  2.7 steepest descent method: several variables， generating functions
  exercises
3 universality and the continuum limit
  3.1 central limit theorem of probabilities
  3.2 universality and fixed points of transformations
  3.3 random walk and brownian motion
  3.4 random walk: additional remarks
  3.5 brownian motion and path integrals
  exercises
4 classical statistical physics: one dimension
  4.1 nearest-neighbour interactions. transfer matrix
  4.2 correlation functions
  4.3 thermodynamic limit
  4.4 connected functions and cluster properties
  4.5 statistical models: simple examples
  4.6 the gaussian model924.7 gaussian model: the continuumlimit
  4.8 more general models: the continuumlimit
  exercises
5 continuum limit and path integrals
  5.1 gaussian path integrals
  5.2 gaussian correlations.wick’s theorem
  5.3 perturbed gaussian measure
  5.4 perturbative calculations: examples
  exercises
6 ferromagic systems. correlation functions
  6.1 ferromagic systems: definition
  6.2 correlation functions. fourier representation
  6.3 legendre transformation and vertex functions
  6.4 legendre transformation and steepest descent method
  6.5 two- and four-point vertex functions
  exercises145
7 phase transitions: generalities and examples
  7.1 infinite temperature or independent spins
  7.2 phase transitions in infinite dimension
  7.3 universality in infinite space dimension
  7.4 transformations， fixed points and universality
  7.5 finite-range interactions in finite dimension
  7.6 ising model: transfer matrix
  7.7 continuous symmetries and transfer matrix
  7.8 continuous symmetries and goldstone modes
  exercises
8 quasi-gaussian approximation: universality， critical dimension.
  8.1 short-range two-spin interactions
  8.2 the gaussian model: two-point function.
  8.3 gaussian model and random walk
  8.4 gaussian model and field integral
  8.5 quasi-gaussian approximation
  8.6 the two-point function: universality
  8.7 quasi-gaussian approximation and landau’s theory
  8.8 continuous symmetries and goldstone modes
  8.9 corrections to the quasi-gaussian approximation
  8.10 mean-field approximation and corrections

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自然科学 物理学 理论物理学

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